On the eigenmodes and eigenfrequencies of low-dimensional degenerated carbon structures: obtaining natural frequencies of ideal and structurally defected systems
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Centre for Clean Environment and Energy, School of Environment and Science, Griffith University, Australia
The University of Birjand, Department of Mechanical Engineering, Birjand, Iran
Esslingen University of Applied Sciences, Faculty of Mechanical Engineering, Esslingen, Germany
Publish date: 2019-01-17
Submission date: 2018-07-12
Acceptance date: 2018-09-04
Journal of Theoretical and Applied Mechanics 2019;57(1):193–205
We concentrated on evaluating the vibrational response of ideal and defected degenerated carbon nanostructures under the influence of different boundary conditions. In addition, an attempt has been made to investigate the relative deviation of the natural frequency of imperfect systems and to study the effect of defected regions on vibrational stability of the particles. It has been found that a single and pinhole vacancy defect have the least and the most impact on the natural frequency of nanostructures. Furthermore, the effect of CNT diameter on natural frequencies of low-dimensional systems has also been investigated in this research.
1. Ardeshana B., Jani U., Patel A., Joahi A.Y., 2017, An approach to modelling and simulation of single-walled carbon nanocones for sensing applications, AIMS Materials Science, 4, 1010-1028.
2. Bogush I., Ciobu V., Paladi F., 2017, Advanced computational method for studying molecular vibrations and spectra for symmetrical systems with many degrees of freedom, and its application to fullerene, The European Physical Journal B, 90, 193.
3. Chandra N., Namilae S., 2006, Tensile and compressive behavior of carbon nanotubes: effect of functionalization and topological defects, Mechanics of Advanced Materials and Structures, 13, 115-127.
4. Hollerer S., Celigoj C.C., 2013, Buckling analysis of carbon nanotubes by a mixed atomistic and continuum model, Computational Mechanics, 51, 765-789.
5. Iijima S., 1991, Helical microtubules of graphitic carbon, Nature, 354, 56.
6. Imani Yengejeh S., Akbar Zadeh M., Öchsner A., 2014a, On the buckling behavior of connected carbon nanotubes with parallel longitudinal axes, Applied Physics A, 115, 1335-1344.
7. Imani Yengejeh S., Akbar Zadeh M., Öchsner A., 2015a, On the tensile behavior of heterojunction carbon nanotubes, Composites Part B, 75, 274-280.
8. Imani Yengejeh S., Kazemi S.A., Öchsner A., 2014b, A numerical evaluation of the influence of atomic modification on the elastic and shear behavior of connected carbon nanotubes with parallel longitudinal axes, Journal of Nano Research, 29, 93-104.
9. Imani Yengejeh S., Kazemi S.A., Öchsner A., 2015b, On the buckling behavior of curved carbon nanotubes, [In:] Mechanical and Materials Engineering of Modern Structure and Component.
10. Design, A. Öchsner, H. Altenbach (Eds.), Switzerland, Springer International Publishing, 70, 401-412.
11. Imani Yengejeh S., Kazemi S.A., Öchsner A., 2016, Advances in mechanical analysis of structurally and atomically modified carbon nanotubes and degenerated nanostructures: A review, Composites Part B: Engineering, 86, 95-107.
12. Imani Yengejeh S., Öchsner A., 2015, Influence of twisting and distortion on the mechanical properties of carbon nanotubes, Journal of Computational and Theoretical Nanoscience, 12, 443-448.
13. Kuang Y.D., He X.Q., 2009, Young’s moduli of functionalized single-wall carbon nanotubes under tensile loading, Composites Science and Technology, 69, 169-175.
14. Lu J.P., 1997, Elastic properties of carbon nanotubes and nanoropes, Physical Review Letters, 79, 1297-1300.
15. Mohammadian M., Hosseini S.M., Abolbashari M.H., 2017, Free vibration analysis of dissimilar connected CNTs with atomic imperfections and different locations of connecting region, Physica B: Condensed Matter, 524, 34-46.
16. Mylvaganam K., Vodenitcharova T., Zhang L.C., 2006, The bending-kinking analysis of a single-walled carbon nanotube – a combined molecular dynamics and continuum mechanics technique, Journal of Materials Science, 41, 3341-3347.
17. Ruoff R.S., Lorents D.C., 1995, Mechanical and thermal properties of carbon nanotubes, Carbon, 33, 925-930.
18. Tserpes K.I., Papanikos P., 2007, The effect of Stone-Wales defect on the tensile behavior and fracture of single-walled carbon nanotubes, Composite Structures, 79, 581-589.
19. Yao X.-H., Han Q., Xin H., 2008, Bending buckling behaviors of single- and multi-walled carbon nanotubes, Computational Materials Science, 43, 579-590.